Question

Graph the line with slope 1 passing through the point (5,1).

Answer 1

First place a dot on the point (5, 1). To find the next point, use the slope.

The slope(m) is:

`m=(rise)/(run)`

"rise" is the number of units you go up(+) or down(-) from each point

"run" is the number of units you go to the right from each point

You know the slope of the line = 1 or
`(1)/(1)` , so from each point you go up one unit and to the right one unit.

From the point (5, 1), go up one unit and to the right one unit in order to find the next point, which should be (6, 2). So plot/make a dot on (6, 2), and you can continue using the slope to find another point, but you can just draw a line through the two points.

Answer 2

A line is defined by two points. What you need is to find coordinates of another point on the line, and then just draw a line between that point and point (5,1)

Explanation:

The general eqation of the line is y=ax+b

We know that the slope is one, which makes a=1

We also know that when x=5, then y = 1

Let's plug it in:

1=1*5+b

1=5+b

b= -4

So the line equation is y=x-4

Let's pick x = 1 (you can pick any x, and just solve to find the y coordinate of another point.

So, when x = 1, y = 1 - 4 = -3

Now draw a line through points (5,1) and (1,-3)